161084 20251017144625.0 doi 10.1016/j.jde.2025.113465 sideral 144241 ART-2025-144241 eng Abadias, Luciano Universidad de Zaragoza (orcid)0000-0003-2453-7841 End-point maximal regularity for the discrete parabolic Cauchy problem and regularity of non-local operators in discrete Besov spaces 2025 Access copy available to the general public Unrestricted In this paper we prove both end-point maximal -regularity for the discrete parabolic Cauchy problem and regularity of some non-local operators in discrete Besov spaces. To that aim, we prove characterizations of the discrete Besov spaces in terms of the heat and Poisson semigroups associated with the discrete Laplacian. Moreover, we provide new estimates for the derivatives of the discrete heat kernel and semigroup which are of independent interest. info:eu-repo/grantAgreement/ES/DGA/E48-23R info:eu-repo/grantAgreement/ES/MICINN/PID2022-137294NB-I00 info:eu-repo/semantics/openAccess by-nc https://creativecommons.org/licenses/by-nc/4.0/deed.es info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion De León-Contreras, Marta Mahillo, Alejandro Universidad de Zaragoza (orcid)0000-0003-4189-0268 2006 015 Universidad de Zaragoza Dpto. Matemáticas Área Análisis Matemático 440 (2025), 113465 [43 pp.] J. differ. equ. JOURNAL OF DIFFERENTIAL EQUATIONS 0022-0396 689740 http://zaguan.unizar.es/record/161084/files/texto_completo.pdf Versión publicada 1414069 http://zaguan.unizar.es/record/161084/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:161084 articulos driver 2025-10-17-14:23:42 ARTICLE